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Simplifying 32 = -4(x + -7) + 4(1 + -4x) Reorder the terms: 32 = -4(-7 + x) + 4(1 + -4x) 32 = (-7 * -4 + x * -4) + 4(1 + -4x) 32 = (28 + -4x) + 4(1 + -4x) 32 = 28 + -4x + (1 * 4 + -4x * 4) 32 = 28 + -4x + (4 + -16x) Reorder the terms: 32 = 28 + 4 + -4x + -16x Combine like terms: 28 + 4 = 32 32 = 32 + -4x + -16x Combine like terms: -4x + -16x = -20x 32 = 32 + -20x Add '-32' to each side of the equation. 32 + -32 = 32 + -32 + -20x Combine like terms: 32 + -32 = 0 0 = 32 + -32 + -20x Combine like terms: 32 + -32 = 0 0 = 0 + -20x 0 = -20x Solving 0 = -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 0 + 20x = -20x + 20x Remove the zero: 20x = -20x + 20x Combine like terms: -20x + 20x = 0 20x = 0 Divide each side by '20'. x = 0 Simplifying x = 0
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